Given numbers are 767,646,420

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 767,646,420 is 104051220.

Find LCM of 767,646,420 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 767 x 323 x 210 = 104051220

Therefore, the lowest common multiple of 767,646,420 is 104051220.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

767 x 646 x 420 = 208102440

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

767 : 1, 13, 59, 767

646 : 1, 2, 17, 19, 34, 38, 323, 646

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,646,420, is 1.

Now, the common factors can be found like this.

767:13x 59

646:2x 17x 19

420:2x 2x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 208102440/(1x2)

LCM = 208102440/2

LCM = 104051220

Thus, we can understand that the LCM of 767,646,420 is 104051220.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 535, 114, 550
• LCM of 401, 989, 789
• LCM of 303, 498, 492
• LCM of 346, 299, 936
• LCM of 499, 551, 425

1. What is the LCM of 767, 646, 420?

Answer: LCM of 767, 646, 420 is 104051220.

2. How to calculate the LCM of 767, 646, 420?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 767, 646, 420.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.